JOHNSON AMENABILITY FOR TOPOLOGICAL SEMIGROUPS

Authors

1 Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, I. R. of Iran

2 Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran

Abstract

–A notion of amenability for topological semigroups is introduced. A topological semigroup S is
called Johnson amenable if for every Banach S -bimodule E , every bounded crossed homomorphism from
S to E* is principal. In this paper it is shown that a discrete semigroup S is Johnson amenable if and only if
1(S) is an amenable Banach algebra. Also, we show that if a topological semigroup S is Johnson amenable,
then it is amenable, but the converse is not true.

Keywords

Iranian Journal of Science
Volume 34, Issue 2 - Serial Number 2
May and June 2010
Pages 151-160

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